论文标题
通过投影曲线进行振动的分析扭转形式
Analytic torsion forms for fibrations by projective curves
论文作者
论文摘要
给出了针对通过投射曲线纤维的分析扭转形式的明确公式。特别是,在相应的环境中,在Arakelov几何形状中获得了直接图像的公式。主要工具是在隔离固定点的情况下,对Bismut的Edovariant Chern Chern电流进行了新的描述。
An explicit formula for analytic torsion forms for fibrations by projective curves is given. In particular one obtains a formula for direct images in Arakelov geometry in the corresponding setting. The main tool is a new description of Bismut's equivariant Bott-Chern current in the case of isolated fixed points.